Particle phenomenology, current algebra, broken symmetries; foundations of quantum mechanics; non-Western and Medieval scientific traditions; role of history and philosophy of science in physics education; role of science in liberal education; connection between science and religion.

Theory of correlated electron materials including high temperature superconductors and other complex oxides such as cobaltates and ruthenates. Itinerant and localized magnetism and heavy fermion systems. Quantum spin systems. Unconventional superconductivity. Emergent quantum electronic states and topologically ordered phases of matter. Fractional and integer quantum Hall systems and other mesoscopic systems including graphene.